2023968 has 48 divisors (see below), whose sum is σ = 5503680. Its totient is φ = 650496.

The previous prime is 2023963. The next prime is 2023981. The reversal of 2023968 is 8693202.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2421 + ... + 3147.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

2^2023968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751840).

2023968 is an abundant number, since it is smaller than the sum of its proper divisors (3479712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2023968 is a wasteful number, since it uses less digits than its factorization.

2023968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2023968 is about 1422.6622930267. The cubic root of 2023968 is about 126.4934042294.

The spelling of 2023968 in words is "two million, twenty-three thousand, nine hundred sixty-eight".